(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[      9166,        305]
NotebookOptionsPosition[      6018,        210]
NotebookOutlinePosition[      8507,        279]
CellTagsIndexPosition[      8399,        273]
WindowTitle->HypInt
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->False], {"\<\"FeynCalc/ref/HypInt\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/HypInt"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/HypInt.\
html"], StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
           False]]; SelectionMove[
        DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$166202], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], "FeynCalc/ref/HypInt",
             ".html"]], None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["HypInt", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"HypInt", "[", 
       RowBox[{"exp", ",", " ", "t"}], "]"}]], "InlineFormula"],
     " \[LineSeparator]",
     " substitutes for all  Hypergeometric2F1[a,b,c,z] in exp \
Gamma[c]/(Gamma[b] Gamma[c-b]) Integratedx[t,0,1]  t^(b-1) (1-t)^(c-b-1) (1-t \
z)^(-a)."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->1614945777],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->249071723],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Hypergeometric2F1", "[", 
  RowBox[{"a", ",", "b", ",", "c", ",", "z"}], "]"}]], "Input",
 CellTags->"HypInt",
 CellLabel->"In[1]:=",
 CellID->204607872],

Cell[BoxData[
 FormBox[
  TemplateBox[{"a","b","c","z"},
   "Hypergeometric2F1"], TraditionalForm]], "Output",
 ImageSize->{104, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypInt",
 CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"HypInt", "[", 
  RowBox[{"%", ",", "t"}], "]"}]], "Input",
 CellTags->"HypInt",
 CellLabel->"In[2]:=",
 CellID->1185900959],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    SuperscriptBox["t", 
     RowBox[{"b", "-", "1"}]], " ", 
    TemplateBox[{"c"},
     "Gamma"], " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"1", "-", 
       RowBox[{"t", " ", "z"}]}], ")"}], 
     RowBox[{"-", "a"}]], " ", 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"1", "-", "t"}], ")"}], 
     RowBox[{
      RowBox[{"-", "b"}], "+", "c", "-", "1"}]], " ", 
    RowBox[{
     SubsuperscriptBox["\[Integral]", 
      FormBox["0",
       TraditionalForm], 
      FormBox["1",
       TraditionalForm]], 
     RowBox[{"\[DifferentialD]", 
      TagBox[
       FormBox["t",
        TraditionalForm],
       TraditionalForm,
       Editable->True], "\[VeryThinSpace]"}]}]}], 
   RowBox[{
    TemplateBox[{"b"},
     "Gamma"], " ", 
    TemplateBox[{RowBox[{"c", "-", "b"}]},
     "Gamma"]}]], TraditionalForm]], "Output",
 ImageSize->{300, 56},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"HypInt",
 CellLabel->"Out[2]="]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"HypInt",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 7, 53.865342}", 
    "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "HypInt[exp, t] substitutes for all Hypergeometric2F1[a,b,c,z] in exp \
Gamma[c]/(Gamma[b] Gamma[c-b]) Integratedx[t,0,1] t^(b-1) (1-t)^(c-b-1) (1-t \
z)^(-a).", "synonyms" -> {}, "tabletags" -> {}, "title" -> "HypInt", 
    "titlemodifier" -> "", "windowtitle" -> "HypInt", "type" -> "Symbol", 
    "uri" -> "FeynCalc/ref/HypInt"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, 
  WindowMargins -> {{428, Automatic}, {Automatic, 60}}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[3679, 108, 388, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->1614945777]},
 "HypInt"->{
  Cell[4312, 137, 177, 5, 27, "Input",
   CellTags->"HypInt",
   CellID->204607872],
  Cell[4492, 144, 242, 8, 38, "Output",
   CellTags->"HypInt"],
  Cell[4771, 157, 147, 5, 27, "Input",
   CellTags->"HypInt",
   CellID->1185900959],
  Cell[4921, 164, 1031, 39, 77, "Output",
   CellTags->"HypInt"]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 7940, 255},
 {"HypInt", 8074, 259}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[578, 21, 2265, 53, 53, "AnchorBarGrid",
 CellID->1],
Cell[2846, 76, 283, 11, 45, "ObjectNameGrid"],
Cell[3132, 89, 522, 15, 102, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3679, 108, 388, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->1614945777],
Cell[CellGroupData[{
Cell[4092, 127, 195, 6, 26, "ExampleSection",
 CellID->249071723],
Cell[CellGroupData[{
Cell[4312, 137, 177, 5, 27, "Input",
 CellTags->"HypInt",
 CellID->204607872],
Cell[4492, 144, 242, 8, 38, "Output",
 CellTags->"HypInt"]
}, Open  ]],
Cell[CellGroupData[{
Cell[4771, 157, 147, 5, 27, "Input",
 CellTags->"HypInt",
 CellID->1185900959],
Cell[4921, 164, 1031, 39, 77, "Output",
 CellTags->"HypInt"]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[5991, 208, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

